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- Title
Solving Nonlinear Wave Equations Based on Barycentric Lagrange Interpolation.
- Authors
Yuan, Hongwang; Wang, Xiyin; Li, Jin
- Abstract
In this paper, we deeply study the high-precision barycentric Lagrange interpolation collocation method to solve nonlinear wave equations. Firstly, we introduce the barycentric Lagrange interpolation and provide the differential matrix. Secondly, we construct a direct linearization iteration scheme to solve nonlinear wave equations. Once again, we use the barycentric Lagrange interpolation to approximate the (2+1) dimensional nonlinear wave equations and (3+1) dimensional nonlinear wave equations, and describe the matrix format for direct linearization iteration of the nonlinear wave equations. Finally, the comparative experiments show that the barycentric Lagrange interpolation collocation method for solving nonlinear wave equations have higher calculation accuracy and convergence rate.
- Subjects
NONLINEAR wave equations; INTERPOLATION; WAVE equation; COLLOCATION methods; LAGRANGE multiplier
- Publication
Journal of Nonlinear Mathematical Physics, 2024, Vol 31, Issue 1, p1
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1007/s44198-024-00200-5